2524285440 has 180 divisors, whose sum is σ = 8768802042. Its totient is φ = 671109120.

The previous prime is 2524285433. The next prime is 2524285457. The reversal of 2524285440 is 445824252.

It can be written as a sum of positive squares in only one way, i.e., 2271856896 + 252428544 = 47664^2 + 15888^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2524285395 and 2524285404.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7626075 + ... + 7626405.

Almost surely, 2^2524285440 is an apocalyptic number.

2524285440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2524285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384401021).

2524285440 is an abundant number, since it is smaller than the sum of its proper divisors (6244516602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2524285440 is an frugal number, since it uses more digits than its factorization.

2524285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 2524285440 is about 50242.2674647552. The cubic root of 2524285440 is about 1361.5893759789.

The spelling of 2524285440 in words is "two billion, five hundred twenty-four million, two hundred eighty-five thousand, four hundred forty".